Toward determination of optimal plane curves with a fixed degree over a finite field
Toward determination of optimal plane curves with a fixed degree over a finite field
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确定有限域上具有固定次数的最佳平面曲线
DOI：
10.1016/j.ffa.2010.12.003
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发表时间：
2011
影响因子：
1
通讯作者：
S.J.Kim
中科院分区：
文献类型：
--
作者：
M.Homma;S.J.Kim
对于q+1次Fq上的一条平面曲线，我们以前的工作知道它的Fq-有理点的个数至多是q2+1。本文确定了达到这一最大值的曲线，直到射影等价。
For a plane curve over Fqof degree q+1, it is known by our previous work that the number of its Fq-rational points is at most q2+1. In this paper, we determine the curves that attain this maximum, up to projective equivalence.